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Finding the Fourth Proportional to 245.64, 368.27 and 106.67

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Solution

The fourth proportional to 245.64, 368.27 and 106.67 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.64 : 368.27 = 106.67 : x
  2. Step 2: Convert to fraction form
    245.64/368.27 = 106.67/x
  3. Step 3: Cross multiply
    245.64x = 368.27 × 106.67
  4. Step 4: Simplify right side
    245.64x = 39,280.99
  5. Step 5: Solve for x
    x = 39,280.99/245.64
  6. Step 6: Final answer
    x = 159.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.